/*- * Copyright (c) 2017,2023 Steven G. Kargl * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice unmodified, this list of conditions, and the following * disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include /* * See ../src/s_cospi.c for implementation details. */ #define INLINE_KERNEL_SINDF #define INLINE_KERNEL_COSDF #include "namespace.h" __weak_alias(cospif, _cospif) #include "math.h" #include "math_private.h" #include "k_cosdf.c" #include "k_sindf.c" #define __kernel_cospif(x) (__kernel_cosdf(M_PI * (x))) #define __kernel_sinpif(x) (__kernel_sindf(M_PI * (x))) static volatile const float vzero = 0; float cospif(float x) { float ax, c; uint32_t ix, jj0; GET_FLOAT_WORD(ix, x); ix = ix & 0x7fffffff; SET_FLOAT_WORD(ax, ix); if (ix < 0x3f800000) { /* |x| < 1 */ if (ix < 0x3e800000) { /* |x| < 0.25 */ if (ix < 0x38800000) { /* |x| < 0x1p-14 */ /* Raise inexact iff != 0. */ if ((int)ax == 0) return (1); } return (__kernel_cospif(ax)); } if (ix < 0x3f000000) /* |x| < 0.5 */ c = __kernel_sinpif(0.5F - ax); else if (ix < 0x3f400000) { /* |x| < 0.75 */ if (ix == 0x3f000000) return (0); c = -__kernel_sinpif(ax - 0.5F); } else c = -__kernel_cospif(1 - ax); return (c); } if (ix < 0x4b000000) { /* 1 <= |x| < 0x1p23 */ FFLOORF(x, jj0, ix); /* Integer part of ax. */ ax -= x; GET_FLOAT_WORD(ix, ax); if (ix < 0x3f000000) { /* |x| < 0.5 */ if (ix < 0x3e800000) /* |x| < 0.25 */ c = ix == 0 ? 1 : __kernel_cospif(ax); else c = __kernel_sinpif(0.5F - ax); } else { if (ix < 0x3f400000) { /* |x| < 0.75 */ if (ix == 0x3f000000) return (0); c = -__kernel_sinpif(ax - 0.5F); } else c = -__kernel_cospif(1 - ax); } jj0 = (uint32_t)x; return (jj0 & 1 ? -c : c); } /* x = +-inf or nan. */ if (ix >= 0x7f800000) return (vzero / vzero); /* * For 0x1p23 <= |x| < 0x1p24 need to determine if x is an even * or odd integer to return +1 or -1. * For |x| >= 0x1p24, it is always an even integer, so return 1. */ return (ix < 0x4b800000 ? ((ix & 1) ? -1 : 1) : 1); }